About stdlib...

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

# Complex64 [![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] > 64-bit complex number.
## Installation ```bash npm install @stdlib/complex-float32-ctor ```
## Usage ```javascript var Complex64 = require( '@stdlib/complex-float32-ctor' ); ``` #### Complex64( real, imag ) 64-bit complex number constructor, where `real` and `imag` are the **real** and **imaginary** components, respectively. ```javascript var z = new Complex64( 5.0, 3.0 ); // returns ``` * * * ## Properties #### Complex64.BYTES_PER_ELEMENT Size (in bytes) of each component. ```javascript var nbytes = Complex64.BYTES_PER_ELEMENT; // returns 4 ``` #### Complex64.prototype.BYTES_PER_ELEMENT Size (in bytes) of each component. ```javascript var z = new Complex64( 5.0, 3.0 ); var nbytes = z.BYTES_PER_ELEMENT; // returns 4 ``` #### Complex64.prototype.byteLength Length (in bytes) of a complex number. ```javascript var z = new Complex64( 5.0, 3.0 ); var nbytes = z.byteLength; // returns 8 ``` ### Instance A `Complex64` instance has the following properties... #### re A **read-only** property returning the **real** component. ```javascript var z = new Complex64( 5.0, 3.0 ); var re = z.re; // returns 5.0 ``` #### im A **read-only** property returning the **imaginary** component. ```javascript var z = new Complex64( 5.0, -3.0 ); var im = z.im; // returns -3.0 ``` * * * ## Methods ### Accessor Methods These methods do **not** mutate a `Complex64` instance and, instead, return a complex number representation. #### Complex64.prototype.toString() Returns a `string` representation of a `Complex64` instance. ```javascript var z = new Complex64( 5.0, 3.0 ); var str = z.toString(); // returns '5 + 3i' z = new Complex64( -5.0, -3.0 ); str = z.toString(); // returns '-5 - 3i' ``` #### Complex64.prototype.toJSON() Returns a [JSON][json] representation of a `Complex64` instance. [`JSON.stringify()`][mdn-json-stringify] implicitly calls this method when stringifying a `Complex64` instance. ```javascript var z = new Complex64( 5.0, -3.0 ); var o = z.toJSON(); /* { "type": "Complex64", "re": 5.0, "im": -3.0 } */ ``` To [revive][mdn-json-parse] a `Complex64` number from a [JSON][json] `string`, see [@stdlib/complex/float32/reviver][@stdlib/complex/float32/reviver].
* * *
## Notes - Both the **real** and **imaginary** components are stored as single-precision floating-point numbers.
* * *
## Examples ```javascript var Complex64 = require( '@stdlib/complex-float32-ctor' ); var z = new Complex64( 3.0, -2.0 ); console.log( 'type: %s', typeof z ); // => 'type: object' console.log( 'str: %s', z ); // => 'str: 3 - 2i' console.log( 'real: %d', z.re ); // => 'real: 3' console.log( 'imaginary: %d', z.im ); // => 'imaginary: -2' console.log( 'JSON: %s', JSON.stringify( z ) ); // => 'JSON: {"type":"Complex64","re":3,"im":-2}' ```
* * *
## C APIs
### Usage ```c #include "stdlib/complex/float32/ctor.h" ``` #### stdlib_complex64_t An opaque type definition for a single-precision complex floating-point number. ```c stdlib_complex64_t z = stdlib_complex64( 5.0f, 2.0f ); ``` #### stdlib_complex64_parts_t An opaque type definition for a union for accessing the real and imaginary parts of a single-precision complex floating-point number. ```c float realf( const stdlib_complex64_t z ) { stdlib_complex64_parts_t v; // Assign a single-precision complex floating-point number: v.value = z; // Extract the real component: float re = v.parts[ 0 ]; return re; } // ... // Create a complex number: stdlib_complex64_t z = stdlib_complex64( 5.0f, 2.0f ); // ... // Access the real component: float re = realf( z ); // returns 5.0f ``` The union has the following members: - **value**: `stdlib_complex64_t` single-precision complex floating-point number. - **parts**: `float[]` array having the following elements: - **0**: `float` real component. - **1**: `float` imaginary component. #### stdlib_complex64( real, imag ) Returns a single-precision complex floating-point number. ```c stdlib_complex64_t z = stdlib_complex64( 5.0f, 2.0f ); ``` The function accepts the following arguments: - **real**: `[in] float` real component. - **imag**: `[in] float` imaginary component. ```c stdlib_complex64_t stdlib_complex64( const float real, const float imag ); ``` #### stdlib_complex64_from_float32( real ) Converts a single-precision floating-point number to a single-precision complex floating-point number. ```c stdlib_complex64_t z = stdlib_complex64_from_float32( 5.0f ); ``` The function accepts the following arguments: - **real**: `[in] float` real component. ```c stdlib_complex64_t stdlib_complex64_from_float32( const float real ); ``` #### stdlib_complex64_from_float64( real ) Converts a double-precision floating-point number to a single-precision complex floating-point number. ```c stdlib_complex64_t z = stdlib_complex64_from_float64( 5.0 ); ``` The function accepts the following arguments: - **real**: `[in] double` real component. ```c stdlib_complex64_t stdlib_complex64_from_float64( const double real ); ``` #### stdlib_complex64_from_complex64( z ) Converts (copies) a single-precision complex floating-point number to a single-precision complex floating-point number. ```c stdlib_complex64_t z1 = stdlib_complex64( 5.0f, 3.0f ); stdlib_complex64_t z2 = stdlib_complex64_from_complex64( z1 ); ``` The function accepts the following arguments: - **z**: `[in] stdlib_complex64_t` single-precision complex floating-point number. ```c stdlib_complex64_t stdlib_complex64_from_complex64( const stdlib_complex64_t z ); ``` #### stdlib_complex64_from_int8( real ) Converts a signed 8-bit integer to a single-precision complex floating-point number. ```c stdlib_complex64_t z = stdlib_complex64_from_int8( 5 ); ``` The function accepts the following arguments: - **real**: `[in] int8_t` real component. ```c stdlib_complex64_t stdlib_complex64_from_int8( const int8_t real ); ``` #### stdlib_complex64_from_uint8( real ) Converts an unsigned 8-bit integer to a single-precision complex floating-point number. ```c stdlib_complex64_t z = stdlib_complex64_from_uint8( 5 ); ``` The function accepts the following arguments: - **real**: `[in] uint8_t` real component. ```c stdlib_complex64_t stdlib_complex64_from_uint8( const uint8_t real ); ``` #### stdlib_complex64_from_int16( real ) Converts a signed 16-bit integer to a single-precision complex floating-point number. ```c stdlib_complex64_t z = stdlib_complex64_from_int16( 5 ); ``` The function accepts the following arguments: - **real**: `[in] int16_t` real component. ```c stdlib_complex64_t stdlib_complex64_from_int16( const int16_t real ); ``` #### stdlib_complex64_from_uint16( real ) Converts an unsigned 16-bit integer to a single-precision complex floating-point number. ```c stdlib_complex64_t z = stdlib_complex64_from_uint16( 5 ); ``` The function accepts the following arguments: - **real**: `[in] uint16_t` real component. ```c stdlib_complex64_t stdlib_complex64_from_uint16( const uint16_t real ); ```
### Examples ```c #include "stdlib/complex/float32/ctor.h" #include #include /** * Return the real component of a single-precision complex floating-point number. * * @param z complex number * @return real component */ static float real( const stdlib_complex64_t z ) { stdlib_complex64_parts_t v; // Assign a single-precision complex floating-point number: v.value = z; // Extract the real component: float re = v.parts[ 0 ]; return re; } /** * Return the imaginary component of a single-precision complex floating-point number. * * @param z complex number * @return imaginary component */ static float imag( const stdlib_complex64_t z ) { stdlib_complex64_parts_t v; // Assign a single-precision complex floating-point number: v.value = z; // Extract the imaginary component: float im = v.parts[ 1 ]; return im; } int main( void ) { const stdlib_complex64_t x[] = { stdlib_complex64( 5.0f, 2.0f ), stdlib_complex64( -2.0f, 1.0f ), stdlib_complex64( 0.0f, -0.0f ), stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f ) }; stdlib_complex64_t v; int i; for ( i = 0; i < 4; i++ ) { v = x[ i ]; printf( "%f + %fi\n", real( v ), imag( v ) ); } } ```
* * * ## See Also - [`@stdlib/complex-cmplx`][@stdlib/complex/cmplx]: create a complex number. - [`@stdlib/complex-float64/ctor`][@stdlib/complex/float64/ctor]: 128-bit complex number.
* * * ## Notice This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more. For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib]. #### Community [![Chat][chat-image]][chat-url] --- ## License See [LICENSE][stdlib-license]. ## Copyright Copyright © 2016-2024. The Stdlib [Authors][stdlib-authors].
[npm-image]: http://img.shields.io/npm/v/@stdlib/complex-float32-ctor.svg [npm-url]: https://npmjs.org/package/@stdlib/complex-float32-ctor [test-image]: https://github.com/stdlib-js/complex-float32-ctor/actions/workflows/test.yml/badge.svg?branch=v0.0.2 [test-url]: https://github.com/stdlib-js/complex-float32-ctor/actions/workflows/test.yml?query=branch:v0.0.2 [coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/complex-float32-ctor/main.svg [coverage-url]: https://codecov.io/github/stdlib-js/complex-float32-ctor?branch=main [chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg [chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im [stdlib]: https://github.com/stdlib-js/stdlib [stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors [umd]: https://github.com/umdjs/umd [es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules [deno-url]: https://github.com/stdlib-js/complex-float32-ctor/tree/deno [deno-readme]: https://github.com/stdlib-js/complex-float32-ctor/blob/deno/README.md [umd-url]: https://github.com/stdlib-js/complex-float32-ctor/tree/umd [umd-readme]: https://github.com/stdlib-js/complex-float32-ctor/blob/umd/README.md [esm-url]: https://github.com/stdlib-js/complex-float32-ctor/tree/esm [esm-readme]: https://github.com/stdlib-js/complex-float32-ctor/blob/esm/README.md [branches-url]: https://github.com/stdlib-js/complex-float32-ctor/blob/main/branches.md [stdlib-license]: https://raw.githubusercontent.com/stdlib-js/complex-float32-ctor/main/LICENSE [json]: http://www.json.org/ [mdn-json-stringify]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/JSON/stringify [mdn-json-parse]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/JSON/parse [@stdlib/complex/float32/reviver]: https://www.npmjs.com/package/@stdlib/complex-float32-reviver [@stdlib/complex/cmplx]: https://www.npmjs.com/package/@stdlib/complex-cmplx [@stdlib/complex/float64/ctor]: https://www.npmjs.com/package/@stdlib/complex-float64-ctor